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Finding the Fourth Proportional to 237.99, 328.60 and 149.50

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Solution

The fourth proportional to 237.99, 328.60 and 149.50 is: 206.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.99 : 328.60 = 149.50 : x
  2. Step 2: Convert to fraction form
    237.99/328.60 = 149.50/x
  3. Step 3: Cross multiply
    237.99x = 328.60 × 149.50
  4. Step 4: Simplify right side
    237.99x = 49,125.70
  5. Step 5: Solve for x
    x = 49,125.70/237.99
  6. Step 6: Final answer
    x = 206.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.